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Numerical Inequalities · Question 50 of 79

Question 50

MediumOriginal question

Solve −4≤3x+2<11-4 \le 3x + 2 < 11.

Options for question 50

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Subtract 2 throughout: −6≤3x<9-6 \le 3x < 9.

  2. Divide by 3: −2≤x<3-2 \le x < 3, that is [−2,3)[-2, 3).

Worth noting

(−2,3](-2, 3] swaps which end is included: the ≤\le belongs to −2-2.

Concept
A double inequality
Typical time
90 s
Your time
—
The rule this testsSolving inequations
Practise this chapter →

Ten questions from Numerical Inequalities, at your own pace.

Practise this chapter →

Ten questions from Numerical Inequalities, at your own pace.